Place each chicken breast half between 2 sheets of heavy-duty plastic wrap; pound to 1/2-inch thickness using a meat mallet or small heavy skillet. Place 1 teaspoon flour in a small bowl, and place remaining flour in a shallow dish. Sprinkle both sides of chicken evenly with salt and pepper. Dredge chicken in flour in shallow dish; shake off excess. Melt 1 tablespoon butter in a large skillet over medium-high heat. Add 1 tablespoon oil to pan; swirl to coat. Add chicken to pan; sauté 4 minutes on each side or until done. Remove chicken from pan; keep warm.